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DiKsa [7]
3 years ago
14

Simplify: 21 ÷ 3 + 0.42 × 4 - 3.12

Mathematics
1 answer:
evablogger [386]3 years ago
3 0
The correct answer is 26.56.
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120 square inches because a circle is 360 degrees so there will be 6 60 degree sections in it and each 60 degree section needs 20 square inches to cover it  so 6 x 20= 120
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Show that angle a+ angle b is equal to angle d​
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sum of two angles of triangle are equal to the exterior angle of triangle

8 0
3 years ago
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Given that 2x – 9y = 11
Stels [109]

Answer:

y = 1/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

2x - 9y = 11

<em>x</em> = 7

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                                                                                                  2(7) - 9y = 11
  2. Multiply:                                                                                                             14 - 9y = 11
  3. [Subtraction Property of Equality] Subtract 14 on both sides:                       -9y = -3
  4. [Division Property of Equality] Divide -9 on both sides:                                 y = 1/3
8 0
3 years ago
Part III: Bailey works part-time at a movie theater. The theater pays employees an hourly wage based on their length of employme
frutty [35]
Given the following table showing the hourly wages of employees of a movie theater based on their length of employment.

<span>Length of employment (months)         Hourly wage (dollars/hour)
6 months                                                          7.55
12 months                                                        7.85
18 months                                                        8.15
24 months                                                        8.45

To obtain an algebraic expression </span>that describes how much Bailey’s employer pays part-time workers, we take two points from the table.

Recall that the equation of a linear function satisfying two points
(x_1,y_1) and (x_2,y_2)
is given by
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}

Given the two points (6, 7.55) and (12, 7.85), the algebraic expression relating the two points is given by
\frac{y-7.55}{x-6} = \frac{7.85-7.55}{12-6} = \frac{0.3}{6}  \\  \\ 6(y-7.55)=0.3(x-6) \\  \\ 6y-45.3=0.3x-1.8 \\  \\ 0.3x-6y=-43.5

Therefore, the <span>algebraic expression that describes how much Bailey’s employer pays part-time workers is
0.3x-6y=-43.5</span>
5 0
3 years ago
The table below shows the squares of different numbers:
gogolik [260]
The table in Part A represents y as a function of x. This means that the value of Y is dependent on the value of X. The table can be represented by an equation that describes the relation of X and Y:
y =  x^{2} or f(x) = x^{2}
By substituting any value of X, you get a specific value of Y based from the given relationship, thus Y is a function of X. 

For Part B, the value of f(150) is $470 and it represents the total cost for borrowing a rowboat for 150 hours. By substituting the value of x = 150 into the function, you get the total cost:
f(x) = 20 + 3x \\ where   \\ x = 150 \\ f(150) = 20 + 3(150) \\ f(150) =20 + 450 \\ f(150) = $ 470
4 0
3 years ago
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